Question

# Write the following rational number in ascending order $\dfrac{3}{4},\dfrac{4}{5},\dfrac{5}{7}$.

Hint: In order to solve this problem we need to solve every fraction with division then we will be getting the values in decimals after that we can see which number is the biggest and which one is the smallest then we can arrange it in ascending order that is smallest first and the sequence is in increasing order.

Rational numbers: These are the numbers which can be written in the form of $\dfrac{p}{q}$ where q is not equal to zero.
The given rational numbers are $\dfrac{3}{4},\dfrac{4}{5},\dfrac{5}{7}$ when we divide these numbers to get there decimal form we will get to know that which number is smallest and which one is the largest.
The number $\dfrac{3}{4}$ can be written as 0.75
The number $\dfrac{4}{5}$ can be written as 0.8
The number $\dfrac{5}{7}$ can be written as 0.7145
So, we can say that $\dfrac{4}{5}$ > $\dfrac{3}{4}$ > $\dfrac{5}{7}$.
So, the ascending order of the terms will be $\dfrac{5}{7}$, $\dfrac{3}{4}$, $\dfrac{4}{5}$.
Therefore, the answer to this problem is $\dfrac{5}{7}$, $\dfrac{3}{4}$, $\dfrac{4}{5}$.
Note:When you get to solve such problems you need to know about the rational numbers. Rational numbers are the numbers which can be written in the form of $\dfrac{p}{q}$ where q is not equal to zero. Ascending order means to arrange in increasing order, that is, from smallest to largest. Students generally see the numerator and give the answer they need to watch out for whether there is a big number in the denominator or not so solving the fraction by division will give you the right answer. Knowing these things will solve your problem and will give you the right answer.